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Finding the Fourth Proportional to 65.82, 90.68 and 61.14

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Solution

The fourth proportional to 65.82, 90.68 and 61.14 is: 84.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.82 : 90.68 = 61.14 : x
  2. Step 2: Convert to fraction form
    65.82/90.68 = 61.14/x
  3. Step 3: Cross multiply
    65.82x = 90.68 × 61.14
  4. Step 4: Simplify right side
    65.82x = 5,543.87
  5. Step 5: Solve for x
    x = 5,543.87/65.82
  6. Step 6: Final answer
    x = 84.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.